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000725835 019__ $$a905918350
000725835 020__ $$a9783319151144$$qelectronic book
000725835 020__ $$a3319151142$$qelectronic book
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000725835 0247_ $$a10.1007/978-3-319-15114-4$$2doi
000725835 035__ $$aSP(OCoLC)ocn904248939
000725835 035__ $$aSP(OCoLC)904248939$$z(OCoLC)905918350
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000725835 049__ $$aISEA
000725835 050_4 $$aQA10.3
000725835 08204 $$a511.3$$223
000725835 1001_ $$aRhodes, John L.,$$eauthor.
000725835 24510 $$aBoolean representations of simplicial complexes and matroids$$h[electronic resource] /$$cJohn Rhodes, Pedro V. Silva.
000725835 264_1 $$aCham :$$bSpringer,$$c2015.
000725835 300__ $$a1 online resource (x, 173 pages) :$$billustrations.
000725835 336__ $$atext$$btxt$$2rdacontent
000725835 337__ $$acomputer$$bc$$2rdamedia
000725835 338__ $$aonline resource$$bcr$$2rdacarrier
000725835 4901_ $$aSpringer monographs in mathematics,$$x1439-7382
000725835 504__ $$aIncludes bibliographical references and indexes.
000725835 5050_ $$a1. Introduction -- 2. Boolean and superboolean matrices -- 3. Posets and lattices -- 4. Simplicial complexes -- 5. Boolean representations -- 6. Paving simplicial complexes -- 7. Shellability and homotopy type -- 8. Operations on simplicial complexes -- 9. Open questions.
000725835 506__ $$aAccess limited to authorized users.
000725835 520__ $$aThis self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric and topological features of the theory of matroids find their counterparts in this extended context. ℗ℓ Graduate students and researchers working in the areas of combinatorics, geometry, topology, algebra and lattice theory will find this monograph appealing due to the wide range of new problems raised by the theory. Combinatorialists will find this extension of the theory of matroids useful as it opens new lines of research within and beyond matroids. The geometric features and geometric/topological applications will appeal to geometers. Topologists who desire to perform algebraic topology computations will appreciate the algorithmic potential of boolean representable complexes.
000725835 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 5, 2015).
000725835 650_0 $$aAlgebra, Boolean.
000725835 650_0 $$aBoolean matrices.
000725835 7001_ $$aSilva, Pedro V.,$$eauthor.
000725835 77608 $$iPrint version:$$z9783319151137
000725835 830_0 $$aSpringer monographs in mathematics.
000725835 852__ $$bebk
000725835 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-15114-4$$zOnline Access$$91397441.1
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000725835 980__ $$aEBOOK
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